You could file bankruptcy. That will stop all the continued negative reporting and allow you to actually rebuild credit. Bankruptcy is how you accomplish the goals you indicated.
As to your questions.
1. Can I force the creditors to sue me, NO
2. Can I be declared judgment proof, there is no such declaration...except bankruptcy.
3. Can something be done to stop tolling the debt...declare bankruptcy, otherwise, no.
At some point, the debt will pass beyond the statute of limitations, but that doesn't necessarily stop collection. All it means is that if you are sued, and the debt is outside the statute of limitations, you can have the case dismissed. Generally, negative entries on your credit report have a 7 year lifespan, but as the debt gets traded around, you will spend countless hours and hassle trying to dispute new negative entries.
Whether you like it or not, bankruptcy is the only thing that will accomplish what you set out in your question.
You cannot force someone to sue you and there is no such thing as "judgment proof": http://blog.chs-law.com/2010/07/think-you-are-judgment-proof-think.html.
If you want to get rid of the debt and cleanup your credit, you'll probably need to file for bankruptcy.
First, the firm is a debt relief agency according to the U.S. Bankruptcy Code. We help people file for bankruptcy. We also do other stuff and we do it well, but Congress wants me to post this notice. Second, nothing on this site is legal advice. You are not my client unless you enter into a written agreement signed by you and me.